409257105 has 16 divisors (see below), whose sum is σ = 664586304. Its totient is φ = 215012160.

The previous prime is 409257103. The next prime is 409257139. The reversal of 409257105 is 501752904.

It is not a de Polignac number, because 409257105 - 2¹ = 409257103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409257103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202606 + ... + 204615.

It is an arithmetic number, because the mean of its divisors is an integer number (41536644).

Almost surely, 2^409257105 is an apocalyptic number.

It is an amenable number.

409257105 is a deficient number, since it is larger than the sum of its proper divisors (255329199).

409257105 is a wasteful number, since it uses less digits than its factorization.

409257105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407296.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 409257105 is about 20230.1039295403. The cubic root of 409257105 is about 742.4469188549.

The spelling of 409257105 in words is "four hundred nine million, two hundred fifty-seven thousand, one hundred five".